Paper Abstract and Keywords |
Presentation |
2006-07-03 14:45
Exact Model Structure Simplification via Immersion to Polynomial Systems Toshiyuki Ohtsuka (Osaka Univ.) |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Although a state-space representation of a nonlinear system can consist of a various kind of functions, its model structure can be simplified to rational functions or polynomial functions via a mapping called immersion, while preserving the input/output mapping exactly. An immersion is a mapping of the state and, in most cases, maps the state to a higher dimensional space. In this paper, the necessary and sufficient condition for immersibility of a given system into a polynomial system is characterized in terms of the finiteness of a certain field. This algebraic condition is so mild that almost all practical systems can be immersed into a polynomial systems. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
nonlinear systems / input-output map / state-space representation / immersion / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 106, no. 135, NLP2006-27, pp. 31-34, July 2006. |
Paper # |
NLP2006-27 |
Date of Issue |
2006-06-26 (NLP) |
ISSN |
Print edition: ISSN 0913-5685 |
Download PDF |
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Conference Information |
Committee |
NLP |
Conference Date |
2006-07-03 - 2006-07-04 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kanazawa Univ. |
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(See Japanese page) |
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Paper Information |
Registration To |
NLP |
Conference Code |
2006-07-NLP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Exact Model Structure Simplification via Immersion to Polynomial Systems |
Sub Title (in English) |
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nonlinear systems |
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input-output map |
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state-space representation |
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immersion |
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1st Author's Name |
Toshiyuki Ohtsuka |
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Osaka University (Osaka Univ.) |
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Speaker |
Author-1 |
Date Time |
2006-07-03 14:45:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2006-27 |
Volume (vol) |
vol.106 |
Number (no) |
no.135 |
Page |
pp.31-34 |
#Pages |
4 |
Date of Issue |
2006-06-26 (NLP) |